If you live where you can get really good Asian/sushi, you might be disappointed by Bambu. The food is pretty average.
Definitely the best food around is at Buck's T-4 in the Best Western at the foot of the access road. They run a shuttle at night for dinner if you don't have a car and are staying at the village or along the access road.
As far as I know, the Dugout at the top of the Ramcharge lift has not been rebuilt since it burned down this past March. We were there right after the fire--what a shame! They had great BBQ.
The Cabin Bar & Grill in the base village is excellent. MR Hummers has great baby back ribs, prime rib and steaks (portions are big too).
As for skiing, one of the nice things about Big Sky is your group of advanced/experts can head to the top and ski a few hours (don't miss skiing off Challenger lift), then meet everyone else for lunch and ski the rest of the day on some very fun intermediate trails. That's what I did when I went with my Mom. It's very rare that a mountain has great intermediate runs that both intermediates and higher-level skiers can enjoy. Also, there are many opportunities for higher-level skiers to drop off intermediate trails for more challenging terrain, then meet back up with the group at or near the lift.
Big Sky is a great mountain to explore, and exploring, to me, is what makes skiing a new resort so much fun. Here are a few things we discovered that hopefully will give you a good start:
Want a really long run that will leave you weak in the knees? Start with the steeps of Lenin to wide-open Liberty Bowl to Dakota Gully to the delightful trees of Bavarian Forest. Hippy Highway then funnels you back from the boundary edge to the Shedhorn lift.
Andesite Mountain is a gem of a secret for advanced and expert terrain. It's all below treeline, so you'll find glades like Rock Pocket, Snake Pit and Bear Lair, as well as some bump runs like Mad Wolf and Broken Arrow that will make your legs scream for a break. For a rollicking time in the trees, drop off Pacifier into The Congo, which eventually drops you out on Safari.
When hunting for the last of the powder, try the glades off the Challenger lift, head to Andesite, especially off the Lone Moose Triple, or leap into Buffalo Jump and Rice Bowl under the Swift Current lift.
For advanced-intermediates, trails off the Shedhorn lift are south-facing and get plenty of sun at times when the lower mountain is in the shade. Upper Sunlight to Sunlight is absolutely delightful. Views are of the backcountry and you'll feel a world away from the rest of the resort.
I think Rendevouz Snowmobiles is the best-known for its tours into Yellowstone. They also do snowcoach tours, which we did when we were there. Their guides are quite knowledgeable and entertaining.